\[ \int \frac {\text {csch}^2(2+3 x)}{2-\coth ^2(2+3 x)} \, dx \]
Optimal antiderivative \[ -\frac {\arctanh \left (\sqrt {2}\, \tanh \left (2+3 x \right )\right ) \sqrt {2}}{6} \]
command
integrate(csch(2+3*x)^2/(2-coth(2+3*x)^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {1}{12} \, \sqrt {2} \log \left (\frac {{\left | -4 \, \sqrt {2} e^{4} - 6 \, e^{4} + 2 \, e^{\left (6 \, x + 8\right )} \right |}}{{\left | 4 \, \sqrt {2} e^{4} - 6 \, e^{4} + 2 \, e^{\left (6 \, x + 8\right )} \right |}}\right ) \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________